Q. If $α = \hat{i} - 3 \hat{j}, β = \hat{i} + 2 \hat{j} - \hat{k}$ then express $β$ in the form $β = β_{1} + β_{2}$ where $β_{1}$ is parallel to $α$ and $β_{2}$ is perpendicular to $α$ then $β_{1}$ is given by

977 209 KCETKCET 2022Vector Algebra Report Error

A

$\frac{5}{8} (\hat{i} - 3 \hat{j})$

23%

B

$\hat{i} - 3 \hat{j}$

72%

C

$\frac{5}{8} (\hat{i} + 3 \hat{j})$

86%

D

$\hat{i} + 3 \hat{j}$

49%

Solution:

Grace